Hey there!
The vertical angles in the diagram shown are 2 and 3, and 1 and 4, because they are formed by 2 intersecting lines and are across from eachother.
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Answer:Gary made 15 baskets.
Susan made 10 baskets.
Bill made 17 baskets.
Step-by-step explanation:
Let x represent the number of baskets that Gary made.
Let y represent the number of baskets that Susan made.
Let z represent the number of baskets that Bill made.
Gary made 5 baskets than Susan this season. This means that
x = y + 5
Bill made 3 less than twice as many baskets as Susan. This means that
z = 2y - 3
Together, all three made 42 baskets. This means that
x + y + z = 42 - - - - - - - - - - 1
Substituting x = y + 5 and z = 2y - 3 into equation 1, it becomes
y + 5 + y + 2y - 3 = 42
4y + 2 = 42
4y = 42 - 2 = 40
y = 40/4 = 10
x = y + 5 = 10 + 5
x = 15
z = 2y - 3 = 2 × 10 - 3
z = 20 - 3 = 17
